What is the Greatest Common Factor of 62894 and 62898?

Greatest common factor (GCF) of 62894 and 62898 is 2.

GCF(62894,62898) = 2

We will now calculate the prime factors of 62894 and 62898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62894 and 62898.

How to find the GCF of 62894 and 62898?

We will first find the prime factorization of 62894 and 62898. After we will calculate the factors of 62894 and 62898 and find the biggest common factor number .

Step-1: Prime Factorization of 62894

Prime factors of 62894 are 2, 13, 41, 59. Prime factorization of 62894 in exponential form is:

62894 = 2¹ × 13¹ × 41¹ × 59¹

Step-2: Prime Factorization of 62898

Prime factors of 62898 are 2, 3, 11, 953. Prime factorization of 62898 in exponential form is:

62898 = 2¹ × 3¹ × 11¹ × 953¹

Step-3: Factors of 62894

List of positive integer factors of 62894 that divides 62894 without a remainder.

1, 2, 13, 26, 41, 59, 82, 118, 533, 767, 1066, 1534, 2419, 4838, 31447

Step-4: Factors of 62898

List of positive integer factors of 62898 that divides 62894 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 953, 1906, 2859, 5718, 10483, 20966, 31449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62894 and 62898. The biggest common factor number is the GCF number.
So the greatest common factor 62894 and 62898 is 2.

Also check out the Least Common Multiple of 62894 and 62898